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Finding the Fourth Proportional to 500,267.97, 690,374.21 and 296,330.49

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Solution

The fourth proportional to 500,267.97, 690,374.21 and 296,330.49 is: 408,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,267.97 : 690,374.21 = 296,330.49 : x
  2. Step 2: Convert to fraction form
    500,267.97/690,374.21 = 296,330.49/x
  3. Step 3: Cross multiply
    500,267.97x = 690,374.21 × 296,330.49
  4. Step 4: Simplify right side
    500,267.97x = 204,578,926,451.01
  5. Step 5: Solve for x
    x = 204,578,926,451.01/500,267.97
  6. Step 6: Final answer
    x = 408,938.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.